Determine all factors of the expression 3x^3+7x^2-18x+8 if one of the factors is x-1

The factors are x-2,and x+4

Therefore the expression can be written as

Step-by-step explanation:

Given expression is

And also given that x-1 is one of the factors

i.e.,x-1=0

 x=1

To find the factors equate the given expression to zero

Using synthetic division to find the factors

1_|    3       7       -18        8

       0       3        10       -8

   ___________________

       3      10       -8         0

Therefore the quadratic equation is  

To find the factors of the above equation:

Where a and b are coefficients of and x respectively

Where a=3 , b=10 and c=-8

Therefore  and

 and

Therefore  and

Therefore the factors are x-2,  and x+4